Atkin-Lehner |
2+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810g |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1118208 |
Modular degree for the optimal curve |
Δ |
-16814641664843750 = -1 · 2 · 58 · 73 · 137 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-741914,-246108614] |
[a1,a2,a3,a4,a6] |
j |
-27279055902727/10156250 |
j-invariant |
L |
0.65067108908203 |
L(r)(E,1)/r! |
Ω |
0.081333888929902 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82810bh1 6370u1 |
Quadratic twists by: -7 13 |